Geo.6 Coordinate Geometry
- I can prove triangles are congruent using coordinates.
- I can reflect, rotate, and translate figures in the coordinate plane.
- I can use coordinate transformation notation to take points in the plane as inputs and give other points as outputs.
- I can determine whether a transformation produces congruent or similar images (or neither).
- I can derive an equation for a circle in the coordinate plane.
- I understand how squared binomials relate to the equation of a circle.
- I can complete the square to find the center and radius of a circle.
- I know that a parabola is the set of points equidistant from a given point and line.
- I can derive an equation for a parabola in the coordinate plane given a focus and a directrix.
- I can use the definition of slope to write the equation for a line in point-slope form.
- I can prove that the slopes of parallel lines are equal.
- I can use slopes of parallel lines to solve problems.
- I can prove that the slopes of perpendicular lines are opposite reciprocals.
- I can use slopes of perpendicular lines to solve problems.
- I can gather information about a line and write its equation.
- I can use a graph to find the intersection points of a line and a circle.
- I can use coordinates of figures to prove geometric theorems.
- I can calculate the coordinates of a point on a line segment that partitions the segment in a given ratio.
- I can determine the point where the medians of a triangle intersect.
- I can determine the point where the altitudes of a triangle intersect.